scholarly journals A Pollution Sensitive Fuzzy EPQ Model With Endogenous Reliability and Product Deterioration Under Lock Fuzzy Game Theoretic Approach

Author(s):  
Kousik Bhattacharya ◽  
Sujit Kumar De

Abstract This article deals with a cost minimization objective function of an economic production quantity (EPQ) inventory model with production breakdown and deterioration. The process reliability and the environmental pollution due to over production have also been considered. The model has been split into two different scenarios according to the breaking time before and after the production period. In scenario 1, no machinery failure occurs during production run time and that of scenario 2 the failure occurs during production run time. We develop a deterministic cost minimization problem first then we fuzzify the model by considering the production rate, the demand rate and all the cost components as lock fuzzy numbers. We convert the fuzzy model into equivalent game problem by considering Gaussian normal strategic probabilities. The model has been solved with the help of different key vectors employed by the decision maker. We have shown that the value of the game might be changed with the change of different key vectors. A comparative study has been made with the numerical results of the general fuzzy and crisp models. Finally, graphical illustrations and sensitivity analysis have been done followed by a conclusion.

2013 ◽  
Vol 23 (1) ◽  
pp. 111-127
Author(s):  
Divya Jain ◽  
Kishor Aggarwal

This paper develops an inventory model for a hypothesized volume flexible manufacturing system in which the production rate is stock-dependent and the system produces both perfect and imperfect quality items. The demand rate of perfect quality items is known and constant, whereas the demand rate of imperfect (non-conforming to specifications) quality items is a function of discount offered in the selling price. In this paper, we determine an optimal production-run time and the optimal discount that should be offered in the selling price to influence the sale of imperfect quality items produced by the manufacturing system. The considered model aims to maximize the net profit obtained through the sales of both perfect and imperfect quality items subject to certain constraints of the system. The solution procedure suggests the use of ?Interior Penalty Function Method? to solve the associated constrained maximization problem. Finally, a numerical example demonstrating the applicability of proposed model has been included.


2013 ◽  
Vol 8 (1) ◽  
pp. 1273-1278
Author(s):  
Srichandan Mishra ◽  
S.P. Mishra ◽  
N. Mishra ◽  
J. Panda

In this paper we discuss the development of an inventory model for deteriorating items which investigates an instantaneous replenishment model for the items under cost minimization. A time varying type of demand rate with infinite time horizon, exponential deterioration and with shortage in considered. The result is illustrated with numerical example.


Author(s):  
Smita Parija ◽  
Sudhansu Sekhar Singh ◽  
Swati Swayamsiddha

Location management is a very critical and intricate problem in wireless mobile communication which involves tracking the movement of the mobile users in the cellular network. Particle Swarm Optimization (PSO) is proposed for the optimal design of the cellular network using reporting cell planning (RCP) strategy. In this state-of-the-art approach, the proposed algorithm reduces the involved total cost such as location update and paging cost for the location management issue. The same technique is proved to be a competitive approach to different existing test network problems showing the efficacy of the proposed method through simulation results. The result obtained is also validated for real network data obtained from BSNL, Odisha. Particle Swarm Optimization is used to find the optimal set of reporting cells in a given cellular network by minimizing the location management cost. This RCP technique applied to this cost minimization problem has given improved result as compared to the results obtained in the previous literature.


1997 ◽  
Vol 29 (6) ◽  
pp. 1003-1016 ◽  
Author(s):  
H Ouwersloot ◽  
P Nijkamp ◽  
G Pepping

The effect of telematics technology on public transport use is analyzed on the basis of a theoretical model. Two possible mechanisms (reduction of uncertainty and a better choice of bus options, based on a general cost-minimization assumption) that may stimulate bus use are distinguished. The model is empirically tested by using microdata from the Southampton Stopwatch telematics project, which were collected both before and after the introduction of this telematics information service. The estimation of the model leads to interesting findings in explaining (anticipated) increases in bus use, for both the before and the after survey. It is shown that uncertainty reduction is the more important effect of the new system. Differences in the before and after data are found concerning the increase in bus use, but the explanatory model proves consistent over the two samples.


2013 ◽  
Vol 4 (4) ◽  
pp. 1-22
Author(s):  
Zrinka Lukač ◽  
Manuel Laguna

The recent development in network multimedia technology has created numerous real-time multimedia applications where the Quality-of-Service (QoS) requirements are quite rigorous. This has made multicasting under QoS constraints one of the most prominent routing problems. The authors consider the problem of the efficient delivery of data stream to receivers for multi-source communication groups. Efficiency in this context means to minimize cost while meeting bounds on the end-to-end delay of the application. The authors adopt the multi-core approach and utilize SPAN (Karaman and Hassane, 2007)—a core-based framework for multi-source group applications — as the basis to develop greedy randomized adaptive search procedures (GRASP) for the associated constrained cost minimization problem. The procedures are tested in asymmetric networks and computational results show that they consistently outperform their counterparts in the literature.


2016 ◽  
Vol 2016 ◽  
pp. 1-9
Author(s):  
Qi Xu ◽  
Jianteng Xu

This paper proposes an economic production quantity problem with the maximal production run time and minimal preventive maintenance time over a finite planning horizon. The objective is to find the efficient production and maintenance policy to minimize the total cost composed of production, maintenance, shortages, and holding costs under the restriction on the production run time and the preventive maintenance time. The production and maintenance decisions include the production and maintenance frequencies and the production run and the maintenance time. The variability and the boundedness of the production run and maintenance time make the problem difficult to solve. Two heuristic algorithms are developed using different techniques based on the optimal properties of the relaxed problem. The performance comparison between the two algorithms is illustrated by numerical examples. The numerical results show that, for the most part, there exists a heuristic algorithm which is more effective than the other.


2003 ◽  
Vol 7 (4) ◽  
pp. 207-228 ◽  
Author(s):  
Hrvoje Podnar ◽  
Jadranka Skorin-Kapov

We present a genetic algorithm for heuristically solving a cost minimization problem applied to communication networks with threshold based discounting. The network model assumes that every two nodes can communicate and offers incentives to combine flow from different sources. Namely, there is a prescribed threshold on every link, and if the total flow on a link is greater than the threshold, the cost of this flow is discounted by a factor α. A heuristic algorithm based on genetic strategy is developed and applied to a benchmark set of problems. The results are compared with former branch and bound results using the CPLEX® solver. For larger data instances we were able to obtain improved solutions using less CPU time, confirming the effectiveness of our heuristic approach.


2014 ◽  
Vol 3 (1) ◽  
pp. 166-174
Author(s):  
Umakanta Misra ◽  
Srichandan Mishra ◽  
Minakshi Mallick ◽  
S K Paikrav

In this paper we discuss the development of an inventory model for ameliorating items such as fast growing animals like duck, pigs, broiler  in poultry farm, high-bred fishes with instantaneous replenishment  for the above type of items under cost minimization. A time varying type of demand rate with infinite time horizon, constant deterioration and without shortage is considered for the model. The result is illustrated with numerical example.


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