1 / 9

IEOR E4405.001 Airline Crew Scheduling Presented by: Fatima Khalid

IEOR E4405.001 Airline Crew Scheduling Presented by: Fatima Khalid. Scope. Goal of airline industry: Maximization of Profits. Requirement for reaching the goal: Planning at strategic, tactical and operational levels.

tibor
Download Presentation

IEOR E4405.001 Airline Crew Scheduling Presented by: Fatima Khalid

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. IEOR E4405.001 Airline Crew Scheduling Presented by: Fatima Khalid

  2. Scope • Goal of airline industry: Maximization of Profits. • Requirement for reaching the goal: Planning at strategic, tactical and operational levels. • Airline planning involves processes such as timetable, fleet assignment, crew pairing and crew assignment. • Note: Focus of presentation: Crew pairing and Crew assignment.

  3. Research based on following papers • A Stochastic Programming Approach to the Airline Crew Scheduling Problem Joyce W.Yen • An Optimization Approach to Solving the Airline Crew Pairing Problem Amy Cohn and Shervin AhmadBeygi

  4. Characteristics of Crew Scheduling Problem • Comprises of two components • Crew-Pairing Problem: Assigning crew pairings (crew comprising: pilot, co-pilot and flight attendants) to flights such that all flights are covered. • Crew Assignment: Crews are assigned to given pairings. Most airlines use a kind of bidding system to assign pairings to crews.

  5. Two costs components: Background on Aircraft Economics

  6. IP Formulation – Crew Pairing: • Min Σp cp xp • st Σp δfp xp = 1 for all f • xp E {0, 1} for all p Terminology: Xp -> is the binary variable taking the value 1 if pairing p is included in the solution else the solution is 0. δfp -> is a binary variable with value 1 if flight is included in the pairing else 0. Cp -> cost of pairing p.

  7. Solution to the problem formulated • First Approach: Branch and Bound (as explained in class) • The Algorithm tries to find the optimal solution of the problem, that is root problem. • In case the optimal solution could not be found, the feasible region is then subdivided into sub regions and the algorithm is then applied to each respective sub-region, resulting in sub problems. • If an optimum solution is found to a sub problem it is feasible solution to the root problem but not necessarily globally optimal. • The optimal solution to the sub problem can be used to prune the tree.

  8. Solution to the problem formulated • Second Approach: Carmin Algorithm • This algorithm uses reduced costs and dual values to find the integer solutions. • The IP is formulated as unconstrained non-linear problem • The reduced cost is found by finding solutions to the equation ri= c i + yi where yi = (ri- + ri+) / 2

  9. Analysis • The advantage of using branch and bound over Carmin’s method is the confirmation of optimality that branch and bound solution has. • In addition, model doesn’t change with duals • However, drawback is the lack in efficiency in finding the solution.

More Related