Peterson Julian

Peterson Julian
Central Police University · Traffic Science

PhD

About

32
Publications
6,425
Reads
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306
Citations
Citations since 2017
8 Research Items
179 Citations
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2017201820192020202120222023010203040
2017201820192020202120222023010203040
2017201820192020202120222023010203040
Introduction

Publications

Publications (32)
Article
Full-text available
Xu (2017) published a paper in Journal of Intelligent and Fuzzy Systems in which he constructs a new distance measure that not only satisfies the axiom of intuitionistic fuzzy sets, but also fulfills the axiom for traditional distance. However, several questionable results arise in Xu (2017). Thus, the purpose of this paper is threefold. First, his...
Article
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In 2004, Macharis et al. proposed a consistent comparison matrix. In this study, we provide a patch work for discussing the construction and restrictions of their consistent comparison matrix. Their study is important in academia and has been cited by over 200 papers. However, in the article, the authors neither provide a detailed explanation on ho...
Article
Full-text available
This paper addresses the issue of a bus model with rectangular service zones and the development of a new approach to find the criterion in which the existence of the optimal solution for headway and route width is guaranteed. A formulated solution is derived for headway that will be useful when establishing relations among variables and predetermi...
Article
In this paper an improved algorithm is provided to detect communities within a network based on group action on sets (GAS). Modularity has been used as the criterion to revise the results of three previous papers, deriving a better method of partition for the network of Karate club. We developed a new method to replace the complicated GAS to achiev...
Article
Full-text available
We examined the solution process for linear programming problems under a fuzzy and random environment to transform fuzzy stochastic goal programming problems into standard linear programming problems. A previous paper that revised the solution process with the lower-side attainment index motivated our work. In this paper, we worked on a revision fo...
Article
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For algebraic method to find the minimum point and value of inventory models, we derive the criterion to guarantee the existence and uniqueness of the interior optimal solution. Our findings will help researchers and practitioners apply inventory models in their research without referring to partial derivatives of calculus.
Article
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Cárdenas-Barrón (2010) applied algebraic methods to EOQ and EPQ models without referring to differential equations, allowing researchers without backgrounds in calculus to understand inventory models with ease. In this note, we point out that the derivation for EPQ model can be obtained by a transformation of the EOQ model and then we provide a fur...
Article
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Most inventory models dealt with deteriorated items. On the contrary, just a few papers considered inventory systems under amelioration environment. We study an amelioration inventory model with Weibull distribution. However, there are some questionable results in the amelioration paper. We will first point out those questionable results in the pre...
Article
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In this paper, we derive two new iterative algorithms to simplify the complicated alternative sequence approach of Yang et al. (2013). The purpose of this paper is threefold. First, we prove our approach generates monotonic and convergent sequences. Second, based on the same numerical example, we demonstrate that our monotonic sequence will converg...
Article
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We study the inventory model of Ouyang, Wu and Cheng that published in Yugoslav Journal of Operations Research, 2005, pp.277-288 to point out some questionable results in their solution procedure and then provide our new solution procedure to demonstrate that the interior minimum is exist and unique. Moreover, we point out that there are two local...
Article
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Similarity measures are power tool to deal pattern recognition problems. Zhang and Fu (2006) constructed an extended similarity measure. Yusoff et al. (2011) further generalized to contain the hesitancy in their new similarity. Chao (2014) pointed out two questionable results of Yusoff et al. (2011) and then provided his revision. The purpose of th...
Article
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This note is a response to Optimal policy for deteriorating items with trapezoidal type demand and partial backlogging by Cheng, Zhang and Wang, published in Applied Mathematical Modelling, 35 (2011) 3552-3560. In the above mentioned paper, a new inventory model was created, but both their model and their solution procedure contained some questiona...
Article
Full-text available
This research is aimed at developing a method for solving pattern recognition problems under the Atanassov’s intuitionistic fuzzy sets based on similarity measures. First we proposed two similarity measures and then developed a method based on our similarity measures. We also proved that our method is able to solve the pattern recognition problems....
Article
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In this note, we reviewed a popular paper of Li that published in Journal of Computer and System Sciences 70 (2005) 73-85. His paper had been referred more than two hundred and twenty six times. Based on the high citation, a detailed examination of his paper is necessary. We pointed out that the core of his solution method is merged two maximum pro...
Article
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This paper points out questionable derivations for the formulated solution in the algebraic approach for the optimal length of local bus route of a traffic model for bus service zones. It also provides revisions for the algebraic approach to prove the existence and uniqueness for the formulated optimal solution. An iterative method was then applied...
Article
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General Karl Von Clausewitz believes that attack and defense in warfare are a state of interaction and response. The shift between attack and defense is involved with a short span of time difficult to define in concrete format. This paper extends Chen and Chu's model of the Ardennes campaign of World War II using the Lanchester equations. We use a...
Article
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We examine inventory models with two warehouses proposed by T. P. M. Pakkala and K. K. Achary [Eur. J. Oper. Res. 57, No. 1, 71–76 (1992; Zbl 0760.90029)] and then further studied by Chou et al. (2006). Our finding provides an analytic explanation why in Pakkala and Achary (loc. cit.), they might claim that the two warehouse inventory model under t...
Article
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We study the paper of Hadley to compare the order quantities for inventory models using the average annual cost and the discounted cost. The purpose of this note is threefold. First, we show that the solution for the discounted cost inventory model is exist and unique. Second, we provide a formulated approximation for the discounted cost inventory...
Article
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This paper discusses why the selection of a finite planning horizon is preferable to an infinite one for a replenishment policy of production inventory models. In a production inventory model, the production rate is dependent on both the demand rate and the inventory level. When there is an exponentially decreasing demand, the application of an inf...
Article
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This paper is an extension of Deng et al. (2007) that was published in the European Journal of Operational Research. We have generalized their model from ramp type demand to arbitrary positive demand while theoretically discovering an important phenomenon: the optimal solution is actually independent of the demand as pointed out by Wou (2010), Hung...
Article
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We use the smoothly connected property to simplify the solution process for inventory model with ramp-type demand under stock-dependent consumption rate. This article is a response to a complicated solution process of Wu et al. [“Retailer's optimal ordering policy for deteriorating items with ramp-type demand under stock-dependent consumption rate,...
Article
This paper investigates the production/inventory policy in an integrated vendor-buyer inventory system with defective goods in the buyer’s arrival order lot. We assume that shortages are allowed and partially backlogged on the buyer’s side, and that the lead time demand distribution is unknown but has given finite first and second moments. The obje...
Article
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Several papers have presented measured function to handle multi criteria fuzzy decision making problems based on interval valued intuitionism fuzzy sets However in some cases the proposed function cannot give sufficient information about alternatives Consequently in this paper we will overcome previous insufficient problem and provide a novel accur...
Article
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This paper is in response to the report of Ahn, Mun, Kim, Oh, and Han published in IEICE Trans. INF. & SYST., Vol.E91-D, No.4, 2008, 1215-1217. They tried to extend their previous paper that published on IEICE Trans. INF. & SYST., Vol.E86-D, No.12, 2003, 2790-2793. However, we will point out that their extension is based on the detailed data of kno...
Article
Design concept is an important wealth-creating activity in companies and infrastructure. However, the process of designing is very complex. Besides, the information required during the conceptual stage is incomplete, imprecise, and fuzzy. Hence, fuzzy set theory should be used to handle linguistic problem at this stage. This paper presents a fuzzy...
Article
This paper is an amendment to Hop’s paper [N.V. Hop, Solving linear programming problems under fuzziness and randomness environment using attainment values, Information Sciences 177 (2007) 2971–2984], in solving linear programming problems under fuzziness and randomness environments. Hop introduced a new characterization of relationship, attainment...
Article
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In 1997, Roy and Maiti developed a fuzzy EOQ model with fuzzy budget and storage capacity constraints where demand is influenced by the unit price and the setup cost varies with the quantity purchased [T.K. Roy, M. Maiti, A fuzzy EOQ model with demand-dependent unit cost under limited storage capacity, Eur. J. Oper. Res. 99 (1997) 425–432]. However...
Article
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J. S. Finan and W. J. Hurley [Comput. Oper. Res. 29, No. 8, 1025–1030 (2002; Zbl 0995.90046)] mentioned that their article provides a severe dilemma for Analytic Hierarchy Process (AHP). Liberatore and Nydick, and Saaty and Vargas tried to defense the legitimacy of AHP to claim that canceling a wash criterion, the relative weights for criteria in t...
Article
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In Tang and Wang (Computers and Operations Research, pp. 413-422, 1997), they tried to develop an interactive approach for quadratic programming problems with fuzzy objective and resources. Based on their approach, they claimed that the exact optimal solution for inventory model under fuzzy objective and resources is useless. We will point out that...
Conference Paper
Full-text available
We study the paper of Ardalan that published in IIE Transactions for inventory model dealing a temporarily price deduction during the sale period. Many papers had quoted this paper in their reference. Several papers extended Ardalan's model to more realistic systems. However, some questionable results in this paper had not been discussed and then r...
Article
Full-text available
In general, using the Newton-Raphson method to find the root of an equation is a simple and popular algorithm. And it is a suitable process to locate the optimal ordering time for the inventory model taking into account the time value as mentioned in Dohi et al. [RAIRO: Oper. Res. 26 (1992) 1–14]. However, it sometimes cannot obtain the optimal sol...

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Projects

Projects (2)
Project
In this paper an improved algorithm is provided to detect communities within a network based on group action on sets (GAS). Modularity has been used as the criterion to revise the results of three previous papers, deriving a better method of partition for the network of Karate club. We developed a new method to replace the complicated GAS to achieve the same effect as GAS. Through four examples, we demonstrated that our revised approach reduced the computation amount of modularity values. The findings shown here, will allow scholars to understand using GAS algorithm to partition a network into communities is an unreliable method.
Project
Recently, in order to introduce economic decision analysis to those younger students in school without the sophisticated knowledge of calculus, there have been more and more researchers devoting themselves to solving EOQ and EPQ models without derivatives. Wee et al. (2003) proposed an EOQ model with temporary sale price derived without using calculus. They used the standard method to complete the square to find the maximum point and maximum value for a quadratic function. We treat the same problem to avoid their lengthy computation and provide an efficient and succinct solution. Hence, the reader can absorb the knowledge of the inventory model clearer and easier.