The paper investigates a two-echelon production-delivery supply chain model for products with stochastic demand and backorder-lost sales mixture under trade-credit financing. manufacturer delivers the retailer’s order quantity in number of equal-sized shipments. replenishment lead-time is such that it can be crashed to minimum duration at an additional cost treated as investment. Shortages inve...

R etailers must constantly strive for excellence in operations; extremely narrow profit margins leave little room for waste and inefficiency. This article reports a retailer’s challenge to balance transportation, shelf space, and inventory costs. A retailer sells multiple products with stochastic demand. Trucks are dispatched from a warehouse and arrive at a store with a constant lead time. Eac...

In recent years management of customer requirements has been the foremost concern of most manufacturers. In this paper, we consider a single-period problem in which the manufacturer faces stochastic demand and individual service level constraints from multiple customers. We present a formulation for the problem that utilizes the structure of the underlying allocation problem and provide an algo...

We prove that the combinatorial diameter of the skeleton of the polytope of feasible solutions of any m× n transportation problem is less than 12 (m + n). The transportation problem ( TP ) is a classic problem in operations research. The problem was posed for the first time by Hitchcock in 1941 [8] and independently by Koopmans in 1947 [11], and appears in any standard introductory course on op...

We prove that the combinatorial diameter of the skeleton of the polytope of feasible solutions of any m× n transportation problem is at most 8 (m+ n− 2). The transportation problem (TP ) is a classic problem in operations research. The problem was posed for the first time by Hitchcock in 1941 [9] and independently by Koopmans in 1947 [12], and appears in any standard introductory course on oper...

This paper discusses an Economic Production Quantity model for Weibull deteriorating items over an infinite time horizon under fuzzy environment. Fuzziness is introduced by allowing the cost components such as setup cost, production cost, holding cost, shortage cost and opportunity cost due to lost sales to certain extent. Triangular fuzzy numbers are used to represent the mentioned costs. Opti...

A manufacturing inventory model with shortages with carrying cost, shortage cost, setup cost and demand quantity as imprecise numbers, instead of real numbers, namely interval number is considered here. First, a brief survey of the existing works on comparing and ranking any two interval numbers on the real line is presented. A common algorithm for the optimum production quantity (Economic lot-...