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Souvenir Containing Abstracts - YMCA University of Science ...

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National Conference on Trends and Advances in Mechanical Engineering<br />

TAME-2012<br />

OCT 19-20, 2012<br />

OPTIMIZATION OF INVENTORY MODEL FOR DECAYING ITEM WITH VARIABLE<br />

HOLDING COST AND POWER DEMAND<br />

1 2 3<br />

Ankit Prakash Tyagi , Rama Kant Pandey , Shivraj Singh<br />

1<br />

Dayanand Brijendra Swarup (PG) College, Dehradun, Uttarakhand, India<br />

2<br />

Department <strong>of</strong> mathematics, Dayanand Brijendra Swarup (PG) College, Dehradun, Uttarakhand, India<br />

3<br />

Department <strong>of</strong> mathematics, D.N. (PG) College, Meerut (UP), India<br />

1 2 3<br />

ankitprakashtyagi88@gmail.com rkpandey0055@gmail.com shivrajpundir@gmail.com<br />

In inventory control phenomena, holding cost is an integral part <strong>of</strong> total cost <strong>of</strong> every inventory system. This is determined<br />

from the investment in physical stocks and storage facilities for items during a cycle. In most <strong>of</strong> the inventory research<br />

papers with power demand pattern, holding cost rate per unit time for perishable inventory is assumed as constant. However,<br />

this is not necessarily the case when items in stock are decaying. In the present work, paying better attention on the holding<br />

cost, we present a deteriorating inventory model in which the unit holding cost is based on the deterioration <strong>of</strong> the inventory<br />

with the time the item is in stock. The deterioration is assumed Weibull distributive. The power pattern <strong>of</strong> demand is<br />

considered in this paper. Shortages are allowed and partial backlogged. The partial backlogging rate is a continuous inverse<br />

function <strong>of</strong> waiting time in purchasing the item during stock out period. By using classical optimization technique,<br />

conditions for uniquely existence <strong>of</strong> global minimum value <strong>of</strong> the average total cost per unit time are discussed. Numerical<br />

illustration and sensitivity analysis are presented.<br />

Keywords: Inventory, Deterioration, Shortage, Weibull Distribution, Power demand, variable holding cost.<br />

***<br />

APPLICATION OF GRAPH THEORY: A REVIEW<br />

1 2 3<br />

Ravi Kalra , Sunil Kumar , Kamal Jangra<br />

1<br />

JCD college <strong>of</strong> Engineering, Sirsa, Haryana<br />

2<br />

Yadavindra College <strong>of</strong> Engineering, Guru Kashi Campus, Talwandi Sabo, Bathinda, Punjab<br />

3<br />

<strong>YMCA</strong> <strong>University</strong> <strong>of</strong> <strong>Science</strong> and Technology, Faridabad, Haryana<br />

Email id: ravikalra24@gmail.com (Ravi); kamaljangra84@gmail.com (Kamal)<br />

Graph theory is a systematic and logical approach that has been successfully implemented in various fields <strong>of</strong> engineering.<br />

The main advantage <strong>of</strong> graph theory over other techniques is that it includes even qualitative factors along with quantitative<br />

factors for modeling the process. This paper discusses the application <strong>of</strong> graph theory in non conventional machining<br />

process. Wire electrical discharge machining process has been considered to illustrate the methodology. A numeric index is<br />

evaluated which is a performance index for the system.<br />

Keywords: Graph theory, manufacturing system, WEDM.<br />

***<br />

EVALUATION OF IDEAS FOR PANEL BODY ASSEMBLY BY DECISION MATRIX<br />

1` 2<br />

Narender Kumar and Vineet Jain<br />

1<br />

Department <strong>of</strong> Mechanical Engineering, Dronacharya College <strong>of</strong> Engineering FarukhNagar Guragaon<br />

Email: narenderiitd@gmail.com<br />

*Corresponding Author<br />

2<br />

Department <strong>of</strong> Mechanical Engineering, Deep institute <strong>of</strong> engineering and Technology, Gurgaon,<br />

Email: vjdj2004@gmail.com<br />

Evaluation phase aims at development <strong>of</strong> value alternatives which is accomplished by careful appraisal and creative<br />

judgment to the ideas which were listed during creativity phase. During the process <strong>of</strong> development, we should ensure that<br />

the product is not cheapened or degrade i.e. there is no reduction in product quality, performance, reliability, maintainability<br />

47<br />

Department <strong>of</strong> Mechanical Engineering, <strong>YMCA</strong> <strong>University</strong> <strong>of</strong> <strong>Science</strong> and Technology, Faridabad

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