Multi-level Operational C 2 Holonic Reference Architecture Modeling for MHQ with MOC

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1 Multi-level Operational C 2 Holonic Reference Architecture Modeling for MHQ with MOC Chulwoo Park 1 Prof. David L. Kleinman 1,2 Prof. Krishna R. Pattipati 1 1 Dept. of Electrical and Computer Engineering University of Connecticut 2 Dept. of Information Science Naval Postgraduate School Contact: krishna@engr.uconn.edu (860) Presented at 14 TH ICCRTS Washington, DC June 16, 2009

2 Outline Introduction: Motivation and Obectives Multi-Level C 2 Coordination Modeling Framework Strategic Level Control (SLC) Operational Level Control (OLC) Tactical Level Control (TLC) Two Coordinating Decision Layers to Explore Linkages with Strategic and Tactical Levels at the Operational Level Strategic-Operational (SLC-OLC) Interface Layer Operational-Tactical (OLC-TLC) Interface Layer Application to a Multi-mission Scenario Maor combat operations Humanitarian assistance and disaster relief (HA/DR) 1

3 Introduction Motivation Maritime Headquarters with Maritime Operations Center (MHQ/MOC) motivated by identified C 2 gaps in recent national-level crises, e.g., September 11, operation Iraqi freedom (OIF), and humanitarian assistance and disaster relief (HA/DR) during Katrina * MHQ/MOC MHQ/MOC * is the Navy s new concept at the operational level with the capability to assess, plan, and execute multiple missions Obectives: provides multi-level adaptive C 2 organizational solution linking tactical, operational and strategic levels of MHQ/MOC for assessing, planning and executing multiple missions ** Range of military operations Normal & Routine Operations Increasing scale & complexity HA/DR Stab Ops Maor Combat Operations 2

4 Multi-level C 2 Coordination Modeling Framework Strategic Level: Decides on the goals of overall mission (commander s intent) Operational Level: Estimates the task-resource requirements, allocates assets to tasks under strategic guidance, and monitors mission progress Tactical Level: Sequences and executes tasks Strategic Set Mission Goals Level Operational Level FP (Assess) FOPS (Plan) Allocation, {r i,applied } & Re-allocation, {r i } { ˆ } { rˆ, ireq } a icap, Asset State COPS (Monitor) ˆ { } a i ˆX ˆ Y ˆ {} r i Measurement { a, r} i i Desired Outcomes Task State {o i,desired } Mismatch {o i } Task Outcomes {o i } Key question addressed: How to solve multi-level coordination problem in a distributed way? Tactical Level Sequence & Execute Battlefield 3

5 Multi-level C 2 Coordination Process Two coordination layers SLC-OLC layer: Selects DIME (diplomatic, information, military and economic) action strategies by solving a semi-markov decision problem (SMDP) OLC-TLC layer: Plans courses of action for individual missions by solving missionspecific SMDPs Coordination Process: 1) Mission weights are transmitted by the SLC-OLC layer to the OLC-TLC layer as the commander s intent 2) Each mission planner at the OLC- TLC layer decides on state-dependent action path in the mission graph 3) The minimum mission completion time is transmitted to the SLC-OLC layer, which specifies the decision epoch of SMDP at the SLC-OLC layer Strategic Level (Combatant Commander) Operational Level (MOC Commander) 1 START END Diplomatic Information Military Economic Tactical Level (Task Unit) 2 Mission Weights 5 Mission Completion Times 3 Task asset status 4 T1.1 T2.1 T1.2 T1.3 T2.2 T2.3 XOR T1.4 AND T1.5 XOR T2.4 AND T2.5 T: (Military) Task T1.6 OR T1.8 T1.7 Mission 1 T2.6 OR T2.8 T2.7 Mission 2 4

6 SMDP: SLC OLC Layer Key Issue: DIME action sequencing to achieve the desired effects Approach: Formulated as a semi- Markov decision problem (SMDP) State x 1 x 2 x 3 x 4 State: Combination of missions HA/DR Stability Ops. Maor combat Ops. Overall Transition probability: The probability of mission completion over the holding (state occupancy) time T(k) Pxk ( ( 1), Tk ( ) xk ( ), u( k)) Pxk ( ( 1) Tk ( ), xk ( ), u( k)) FTk ( ( ) xk ( ), u( k)) Reward Structure: DIME action cost and reward for mission completion over the holding time T(k) R( T( k) x( k), u ( k)) R( z ( k), u ( k)) V ( x) V N i i1 ( x): the expected total reward of an option (path) at the OLC - TLC layer 5 x 5 x 6 x 7 x 8 Action: State-based DIME action-paths Policy: Best action to take in each state at each decision epoch The expected reward of policy starting at an initial state x(0): K 1 k V ( x(0)) E [ R( T( k) x( k), u ( k)) k0 k RT ( ( K) xk ( ))] K : the number of decision epochs : discount rate

7 Key Issue: Find optimal path in a mission graph to complete the mission SMDP: OLC TLC Layer Approach: Formulated as distributed semi-markov decision problem using an mission graph (Meirina et al. IEEE T- SMCA, 2008) State: Combination of sub-goal (task) states Transition probability: Probability of completing a mission via a path in the mission graph over the holding time (k) P( xk ( 1), T( k) xk ( ), u( k)) P( x( k 1) T( k), x( k), u ( k)) F ( T( k) x( k), u ( k)) Reward Structure: Function of mission difficulty and task accuracy for the assigned resources x 2 A1 T2 x 1 T3 T1 x 3 A2 A3 T4 T5 x 13 XOR AND A4 Action: State-based goal (task) actions (options) Policy: Best action to take in each state at each decision epoch T6 A5 T7 OR T8 R( T( k) x( k), u ( k)) R( x( k), u ( k)) r( T( k)). r( T( k)) : the reward over the holding time T( k) Expected reward of a policy starting at initial state x(0): V 1 K k0 k ( x(0)) E [ R( T( k) x( k), u ( k)) k R( T( K) x( K))] K : the number of decision epochs : discount rate 6

8 Application to Multi-mission Scenario - 1 Mission Space Mission area 1 (Maor combat ops.) Mission 1: capture a seaport to allow the introduction of follow-on forces (maor combat operation) Mission 2: rescue activity after a hurricane in the homeland (HA/DR) Mission 1 Mission area 2 (HA/DR) State 3 Mission 2 Diplomatic Appeal for diplomatic/material cooperation Political Political reform or yield Military Provide military aid Military Use conventional military force 7

9 Application to Multi-mission Scenario - 2 Mission 1 State 15 T: (Military) Task T1.1 T1.3 T1.7 T1.8 T1.4 T1.5 State 14 Mission 2 T2.1 T1.2 T2.4 T2.5 T2.6 T2.8 8

10 Summary and Future Work Multi-level Operational C 2 Holonic Reference Architecture It can be applied to the Navy s new MHQ with MOC linking tactical, operational and strategic level controls Strategic Level Control (SLC): centralized assessment Operational Level Control (OLC): networked distributed planning Tactical level control (TLC): decentralized execution C 2 coordination issues at the three levels, associated with DIME actions (future plans), and mission planning (future operations and current operations) can be modeled using SMDP formalisms within the proposed holonic architecture The two layers share the outcomes of SMDP solutions at each layer (e.g., missions to be planned from SLC-OLC OLC-TLC, mission completion times from OLC-TLC SLC-OLC) to reach consensus Future Work Game-theoretic incentive mechanisms to induce collaborative behavior Distributed auction algorithms with partial information to decide on the best organizational structures 9

11 Holding Time Distribution Function FTk ( ( ) xk ( ), u( k)) 1 (1 ( xk ( 1), Tk ( )) z( k)) where N : Number of missions N : mission termination condition z i i i i i1 : Status of mission i, z =1 denotes the presence of a mission i Policy (k) (K) SLC OLC Layer State Mission Weights w (k) x(k) Mission Termination Condition 1 (k) w x= x(k+ 1 (k)) M x (K) w (K) OLC TLC Layer State x 1 (k) x 2 (k) Policy 1 (k) 2 (k) Completion Time 1 (k) 2 (k) x 1 x 2 Policy 1 2 Completion Time 1 2 x 1 (K) x 2 (K) Policy 1 (K) 2 (K) x M (k) M (k) M (k) x M M M x M (K) M (K) Clic k!

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