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Multi-Commodity, Multi-Depot Inventory Routing Problem (MCMDIRP) is relevant to vendors who have to make decisions about timing of delivery, size of shipment and routing for multiple commodities from multiple manufacturing plants to warehouses in a Vendor Managed Inventory (VMI) scenario. We propose a Mixed Integer Linear Program (MILP) for the MCMDIRP. The model is tested on a real life case study...
The present paper deals with the optimal planning for blending of coal of different grades for beneficiation of coal with a view to satisfy the requirements of the end users with desired specifications. The input specifications are known whereas aspiration levels of the characteristics washed coal have been specified. Beneficiation of coal refers to the production of wash coal from raw coal with the...
Petri nets are powerful graphical and mathematical modelling tool for describing and studying various types of system. Petri nets can be used not only to express the static behaviours of logic operation such as logical relations between system components, but also to study the dynamic behaviours such as operating sequence, workflow, maintenance process, failure occurrence and concurrent activities...
In this article, we consider a single server queueing system with finite waiting space N (including one customer in service) and an inventory is attached with the maximum capacity S. The arrival of customer at the system is according to independent Poisson Processes with rate λ through a single channel. The service time is exponentially distributed with mean 1/μ and the item in stock has exponential...
The paper aims at obtaining an optimal route of a fleet of oil-delivery tankers from a source to a number of service stations. The distance between any two stations and demand(s) for each station are given. The objective is to find an optimal route undertaken by tankers such that the requirements of stations are met, the total distance travelled by the Tankers and the backload of the Tankers is to...
A departure from ecosystem quality objectives can be defined as effects, which may vary in magnitude and occur over different time scales. Some effects may be reversible while others may persist for long periods. Thus, compared with other sources of pollution in the oceans, the risk of crude oil spillage to the sea presents the major threat for the marine ecology. This study considers the combination...
The single row facility layout problem (SRFLP) is a NP-hard problem concerned with the arrangement of facilities of given lengths on a line so as to minimize the weighted sum of the distances between all the pairs of facilities. The SRFLP and its special cases often arise while modeling a large variety of applications. It has been actively researched until the mid-nineties, and then again since 2005...
About 75 % of the world’s railroads operate with diesel fuel. Even though European railroads rely on electric traction to a large extent, US railroads rely mostly on diesel fuel (100 % of US freight is hauled by diesel locomotives). Like in other industries there is intense competition to keep costs low; and in railroad operations based on diesel locomotives, the cost of fuel and its delivery is the...
The Traveling Salesman Problem (TSP) is one of the most widely discussed problems in combinatorial optimization. It has many practical applications in fields of distribution and logistics management, scheduling problems etc. Since these problems are hard, in addition to exact algorithms, research has focused on heuristic techniques to solve TSPs. Computational time is a major concern while solving...
In certain situations many stresses and strengths may act on a system. It is observed that if more than one stress act on a single strength system then the reliability of the system is same as the reliability of the single stress strength components in series system when stress and strength follow exponential distribution. It is also observed that if more than one strength act on a single stress system...
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