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Implementation of fuzzy relation equations (FREs) as constraints in a linear optimization model for decision making problems is the central concept of the present paper. Due to non-convex nature of the solution set of FREs, it (the solution set) is characterized as lattice and a feasible domain of the optimization model has been obtained. The objective function of linear model has been characterized...
Security Forces are often faced with the arduous task of conducting a search for active terrorists or insurgents. The decision maker is faced with the difficult task of deploying limited effort for search in various sectors. The paper presents a stochastic model which assigns target presence probabilities, optimises search effort and then revises the target presence probability based on likely movement...
In this paper we study hierarchical systems with stochastic data: be it the cost coefficients, right-hand-side vector, coefficient matrix or any of their combinations. The problem is converted to its equivalent deterministic form using any known stochastic approach. This deterministic model (in case of a linear hierarchy) may be linear or nonlinear depending on which parameter in the problem is random...
This paper develops formulae for the moments of the effective lead time in the context of multi-sourcing when the individual lead times have non-negative support unlike the normal distribution. A formula for the distribution of effective lead time provides easy computational method for the mean and variance as well as any other moments. We provide exact formulae for the mean and variance of the effective...
The main purpose of this paper wants to investigate the effect of trade credit policy with limited storage capacity within the economic order quantity (EOQ) framework. Goyal is frequently cited when the inventory systems under conditions of permissible delay in payments are discussed. But Goyal assumed that the retailer’s storage capacity is unlimited. This assumption is debatable. So, we want to...
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