Resource Allocation Network for Segregated Targeting Problems with Dedicated Sources

Abstract

Resource allocation networks (RAN) are efficiently optimized using the techniques of Pinch Analysis. Primarily, these RANs consist of a set of source streams and a set of demands. However, in the past a special type of RAN, called segregated targeting problems, is identified which consists of multiple sets of demands called zones. The resource and cost optimality of such problems are determined by using the sequential targeting and the concept of prioritized cost. In this paper, segregated targeting problems are extended to include dedicated sources in each zone. In segregated targeting problems, sources are shared by all zones. However, in the extended version of the problem, there are some dedicated sources specific to a zone in which they are present and are not shared with other zones due to proximity, safety, operability, etc. The primary objective of this paper is to develop an algorithm, based on the principles of Pinch Analysis, to determine the minimum resource requirement for a segregated targeting problem with dedicated sources. Using rigorous mathematical arguments, a nondimensional number is determined that dictates the allocation of an internal source to a zone for overall resource optimality. As a part of the proposed algorithm, we have rigorously analyzed and characterized pinch jump due to addition and removal of flows from a RAN. The applicability of the proposed algorithm is demonstrated through three examples from diverse domains: cooling water network, carbon constrained energy sector planning, and water allocation network.

Cost Optimal Segregated Targeting Problems with Dedicated Sources

“…These characteristics describe the change in pinch point on addition and subtraction of flows from a network (stated in Lemmas 2-7). These lemmas are mathematically proved by Jain and Bandyopadhyay (2017).…”

“…It is seen from Eq. 10 that if the costs of all the resources are identical, then the cost-benefit number is essentially reduced to benefit number derived by Jain and Bandyopadhyay (2017).…”

“…The concepts of prioritised cost, developed by Shenoy and Bandyopadhyay (2007), were applied by (Roychaudhuri et al 2017) Carbon equivalent mass flowrate Impurity concentration Impurity load Biochar based carbon management Chandrayan and Bandyopadhyay (2014) to determine the cost optimal solution. Jain and Bandyopadhyay (2017) noted that due to different process constraints like safety, flexibility, the proximity of different sources from different demands, etc., there is a necessity that some sources should be considered as dedicated sources for particular zones. These dedicated sources are specific to the zone in which they are present and are not shared with other zones.…”

“…These types of problems are called segregated targeting problems with dedicated sources. Jain and Bandyopadhyay (2017) introduced the concept of Benefit number that helps in determining the resource optimal solution for segregated targeting problems with dedicated sources. However, apart from determining optimum resource, the minimisation of the overall cost is the major factor which dictates the economic feasibility of a problem and, hence, its acceptability by the industries.…”

Assessment of Ground Water Quality in Rajajinagar of Bangalore

“…It is also used for hydro-electric power generation. The quality of ground water varies from one place to another along with the depth of water table .it also changes with seasonal variation and is primarily governed by the extent and composition of dissolved solids present in it 1 . Drinking water needs to be protected from pollution and biological contamination.…”